The only way to prove what's in your head, is to record it publicly, right? Just because you said it was in your head, doesn't mean a damn thing. However, if I have a thought and record it publicly before others, that means, according to public record, I (1) had the idea first or (2) had the idea and took the initiative to make it public record. Hence, I declare that idea my intellectual property.
Same applies to a lot of incorporeal property. Just because something is incorporeal doesn't mean it can't be "owned."
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